Evaluate square root of (-8)^2

Problem

√(,(−8)2)

Solution

1. Evaluate the exponent inside the radical by squaring the number −8

(−8)2=64

2. Substitute the result back into the square root expression.

√(,64)

3. Calculate the principal square root of 64 which is the non-negative number that, when multiplied by itself, equals 64

√(,64)=8

Final Answer

√(,(−8)2)=8

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